O-LevelMathematicsGeometry4024/11 · Oct/Nov 2025 · Q166 Marks
Points Q, R, S and T lie on a circle, centre O. UV is a tangent to the circle at T. SOQV is a straight line. Angle QST = 32°. [Figure 16.1]
- (a)Find angle QRT. Give a geometrical reason to explain your answer.[2]
- (b)Find angle TQS.[2]
- (c)Find angle TVQ.[2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2025). The mark or mark type is shown in brackets.
- [2] (a) 32, Angles in the same segment are equal
- [B1] for 32
- [2] (b) 58
- [B1] for angle STQ = 90
- [2] (c) 26
- [B1] for angle QTV = 32 or M1 for 180 - (90 + 32 + 32) oe or for 180 - (180 - their 58) - 32 oe
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